Dynamic Quantization of Multi-rate Control Systems

Abstract

This paper considers a dynamic quantization problem for multi-rate sampling feedback systems. First, we give an optimal dynamic quantizer for systems with fast sampling input and slow sampling output, which has a different structure from those in the single-rate case. Second, we show an upper bound of the performance of dynamic quantizers for systems with slow sampling input and fast sampling output. Based on this, we provide a method to obtain a suboptimal solution. Numerical examples are given to demonstrate the effectiveness of our dynamic quantizers.